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Algebra: a teaching and source book

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Bibliographic Details
Main Authors:	Shult, Ernest (Author), Surowski, David -2011 (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham [u.a.] Springer 2015
Subjects:	Mathematics Algebra Field theory (Physics) Group theory Associative Rings and Algebras Group Theory and Generalizations Field Theory and Polynomials Mathematik
Online Access:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (XXII, 539 S.) 6 illus
ISBN:	9783319197340
DOI:	10.1007/978-3-319-19734-0

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MARC


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Record in the Search Index

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adam_text	ALGEBRA / SHULT, ERNEST : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS BASICS BASIC COMBINATORIAL PRINCIPLES OF ALGEBRA REVIEW OF ELEMENTARY GROUP PROPERTIES PERMUTATION GROUPS AND GROUP ACTIONS NORMAL STRUCTURE OF GROUPS GENERATION IN GROUPS ELEMENTARY PROPERTIES OF RINGS ELEMENTARY PROPERTIES OF MODULES THE ARITHMETIC OF INTEGRAL DOMAINS PRINCIPAL IDEAL DOMAINS AND THEIR MODULES THEORY OF FIELDS SEMIPRIME RINGS TENSOR PRODUCTS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ALGEBRA / SHULT, ERNEST : 2015 ABSTRACT / INHALTSTEXT THIS BOOK PRESENTS A GRADUATE-LEVEL COURSE ON MODERN ALGEBRA. IT CAN BE USED AS A TEACHING BOOK – OWING TO THE COPIOUS EXERCISES – AND AS A SOURCE BOOK FOR THOSE WHO WISH TO USE THE MAJOR THEOREMS OF ALGEBRA. THE COURSE BEGINS WITH THE BASIC COMBINATORIAL PRINCIPLES OF ALGEBRA: POSETS, CHAIN CONDITIONS, GALOIS CONNECTIONS, AND DEPENDENCE THEORIES. HERE, THE GENERAL JORDAN–HOLDER THEOREM BECOMES A THEOREM ON INTERVAL MEASURES OF CERTAIN LOWER SEMILATTICES. THIS IS FOLLOWED BY BASIC COURSES ON GROUPS, RINGS AND MODULES; THE ARITHMETIC OF INTEGRAL DOMAINS; FIELDS; THE CATEGORICAL POINT OF VIEW; AND TENSOR PRODUCTS. BEGINNING WITH INTRODUCTORY CONCEPTS AND EXAMPLES, EACH CHAPTER PROCEEDS GRADUALLY TOWARDS ITS MORE COMPLEX THEOREMS. PROOFS PROGRESS STEP-BY-STEP FROM FIRST PRINCIPLES. MANY INTERESTING RESULTS RESIDE IN THE EXERCISES, FOR EXAMPLE, THE PROOF THAT IDEALSIN A DEDEKIND DOMAIN ARE GENERATED BY AT MOST TWO ELEMENTS. THE EMPHASIS THROUGHOUT IS ON REAL UNDERSTANDING AS OPPOSED TO MEMORIZING A CATECHISM AND SO SOME CHAPTERS OFFER CURIOSITY-DRIVEN APPENDICES FOR THE SELF-MOTIVATED STUDENT DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Shult, Ernest Surowski, David -2011
author_GND	(DE-588)1075762014 (DE-588)1075762391
author_facet	Shult, Ernest Surowski, David -2011
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author_sort	Shult, Ernest
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dewey-full	512.46
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	512 - Algebra
dewey-raw	512.46
dewey-search	512.46
dewey-sort	3512.46
dewey-tens	510 - Mathematics
discipline	Mathematik
doi_str_mv	10.1007/978-3-319-19734-0
format	Electronic eBook
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indexdate	2024-07-10T07:08:23Z
institution	BVB
isbn	9783319197340
language	English
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physical	1 Online-Ressource (XXII, 539 S.) 6 illus
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spelling	Shult, Ernest Verfasser (DE-588)1075762014 aut Algebra a teaching and source book Ernest Shult ; David Surowski Cham [u.a.] Springer 2015 1 Online-Ressource (XXII, 539 S.) 6 illus txt rdacontent c rdamedia cr rdacarrier Mathematics Algebra Field theory (Physics) Group theory Associative Rings and Algebras Group Theory and Generalizations Field Theory and Polynomials Mathematik Surowski, David -2011 Verfasser (DE-588)1075762391 aut Erscheint auch als Druckausgabe 978-3-319-19733-3 https://doi.org/10.1007/978-3-319-19734-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161186&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161186&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract
spellingShingle	Shult, Ernest Surowski, David -2011 Algebra a teaching and source book Mathematics Algebra Field theory (Physics) Group theory Associative Rings and Algebras Group Theory and Generalizations Field Theory and Polynomials Mathematik
title	Algebra a teaching and source book
title_auth	Algebra a teaching and source book
title_exact_search	Algebra a teaching and source book
title_full	Algebra a teaching and source book Ernest Shult ; David Surowski
title_fullStr	Algebra a teaching and source book Ernest Shult ; David Surowski
title_full_unstemmed	Algebra a teaching and source book Ernest Shult ; David Surowski
title_short	Algebra
title_sort	algebra a teaching and source book
title_sub	a teaching and source book
topic	Mathematics Algebra Field theory (Physics) Group theory Associative Rings and Algebras Group Theory and Generalizations Field Theory and Polynomials Mathematik
topic_facet	Mathematics Algebra Field theory (Physics) Group theory Associative Rings and Algebras Group Theory and Generalizations Field Theory and Polynomials Mathematik
url	https://doi.org/10.1007/978-3-319-19734-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161186&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028161186&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT shulternest algebraateachingandsourcebook AT surowskidavid algebraateachingandsourcebook

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